Results 181 to 190 of about 2,566,571 (236)
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2014
This chapter gives an exposition of control theory for linear systems with emphasis on items and techniques given in a form appropriate for topics in forthcoming chapters. It introduces problems of reachability and optimal target control under constraints, as well as time-optimal control.
Alexander B. Kurzhanski, Pravin Varaiya
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This chapter gives an exposition of control theory for linear systems with emphasis on items and techniques given in a form appropriate for topics in forthcoming chapters. It introduces problems of reachability and optimal target control under constraints, as well as time-optimal control.
Alexander B. Kurzhanski, Pravin Varaiya
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Control over linear pulse systems
Ukrainian Mathematical Journal, 1995The linear pulse system \[ \begin{cases} \dot{x} = A(t)x+C(t)u(t)+f(t),\;t\neq t_{i},\\ x(t_{i})-x(t_{i}+0)=B_{i}x(t_{i})+D_{i}v_{i}+I_{i},\end{cases} \tag{1} \] with the boundary conditions \[ x(\alpha)=a,\quad x(\beta)=b, \tag{2} \] and controls \(u(t),\;\{v_{i}\}_{i=1}^{p}\) is considered. Let \(L_{2}([\alpha,\beta], {\mathbb{R}}^{r})\) be the space
Akhmetov, M. U. +2 more
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2013
In this chapter we apply the results of Chaps 2 and 3 for a class of linear control problems which is of great importance in the control theory and engineering. For this class of problems we establish the existence of solutions over an infinite horizon and the turnpike property.
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In this chapter we apply the results of Chaps 2 and 3 for a class of linear control problems which is of great importance in the control theory and engineering. For this class of problems we establish the existence of solutions over an infinite horizon and the turnpike property.
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1996
For linear systems the problems of time optimality, controllability, observability, and the problem of constructing observers of different type are treated.
V. N. Afanas’ev +2 more
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For linear systems the problems of time optimality, controllability, observability, and the problem of constructing observers of different type are treated.
V. N. Afanas’ev +2 more
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Linear Multivariable Control Systems
2022This rigorous yet accessible textbook provides broad and systematic coverage of linear multivariable control systems, including several new approaches to design. In addition to standard state space theory, it provides a new measurement-based approach to linear systems, including a generalization of Thevenin's Theorem, a new single-input single-output ...
Shankar P. Bhattacharyya, Lee H. Keel
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Perturbations of Linear Control Systems
SIAM Journal on Control, 1971The purpose of this paper is to consider the controllability of linear control systems which are perturbations (with respect to $L^p $-norms) of controllable linear systems. We show that the set of all completely controllable linear systems is open and dense in the set of all linear control systems.
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Classical Linear Control Systems—PID Control Systems
2018The main topic of this chapter is concentrated on the PID control system design and analysis. Three popular methods, root locus, Bode plot, and state space, are introduced and discussed in details with quite a few example projects. Starting from Sect. 5.2, the root locus strategy is discussed with some special properties used in this method.
Ying Bai, Zvi S. Roth
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2008
This chapter starts with basic results on semigroups of linear operators on Banach spaces. Characterizations of the generators of the semigroups due to Hille and Yosida and to Lions are given. Abstract material is illustrated by self-adjoint and differential operators.
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This chapter starts with basic results on semigroups of linear operators on Banach spaces. Characterizations of the generators of the semigroups due to Hille and Yosida and to Lions are given. Abstract material is illustrated by self-adjoint and differential operators.
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Best Linear Controllers for Decentralized Linear Quadratic Systems
Journal of Systems Science and ComplexityzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Afshari, Mohammad, Mahajan, Aditya
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Linear Control of Non-Linear Systems
International Journal of Control, 1967ABSTRACT For some simple relay control systems it is shown that if the control signal input to the relay is made an appropriate linear combination of the state variables, nearly optimum performance can be achieved. The performance index used is integral -square-error; its value when the switching function is linear is calculated and compared with the ...
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