Results 301 to 310 of about 3,330,411 (337)
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On the Control of Coupled Linear Systems
1998J.-L. Lions proved several observability theorems for coupled linear distributed systems provided the coupling parameters are small enough. It remained an open question whether the assumption on the smallness of these parameters is necessary for the validity of the results.
Komornik V., LORETI, Paola, Zuazua E.
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Controllability of stochastic linear systems
Systems & Control Letters, 1981In the paper necessary and sufficient conditions for various types of stochastic controllability of the linear stochastic system of the form d x = Ax d t + Bu d t + C d w r , x(0) = x 0 are given. Some possible extensions are indicated as well.
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Controllability of non-linear biochemical systems
Mathematical Biosciences, 2005Mathematical methods of biochemical pathway analysis are rapidly maturing to a point where it is possible to provide objective rationale for the natural design of metabolic systems and where it is becoming feasible to manipulate these systems based on model predictions, for instance, with the goal of optimizing the yield of a desired microbial product.
Eberhard O. Voit +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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Global Controllability of Linear Systems with Positive Controls [PDF]
SIAM Journal on Control, 1973 A linear autonomous differential control system is considered, where the zero control is an extreme point of the restraint set. Necessary and sufficient conditions are given for global controllability in the case of bounded or unbounded scalar control.
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2002
This Chapter constitutes an introduction to the domain of control of linear systems. It was mostly inspired by [3], [63], the introduction and survey given in [83] where the techniques relevant to linear algebra can be found, and the article on control theory in [49, vol. 1, art. 86].
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This Chapter constitutes an introduction to the domain of control of linear systems. It was mostly inspired by [3], [63], the introduction and survey given in [83] where the techniques relevant to linear algebra can be found, and the article on control theory in [49, vol. 1, art. 86].
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Controllability of linear stochastic systems
IEEE Transactions on Automatic Control, 2001Linear, finite-dimensional, continuous-time, stochastic control systems with time-varying parameters are considered. Fundamental definitions of stochastic controllability are presented. Next, using the theory of stochastic differential equations, methods of functional analysis and the minimum energy principle, many conditions for complete ...
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Linear control systems: Controllability with constrained controls
Journal of Optimization Theory and Applications, 1976We study the null controllability with bounded controls of an ordinary control process in ℝ n . To prove controllability conditions for the nonautonomous case, we need to generalize the definition of characteristic exponents of a linear system. Some theorems on characteristic exponents are stated.
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Stability of Linear Control Systems
2018A general notion of stability says that a system is stable if after being removed from a stable state, the system returns to the original state provided no external input is applied. Another general notion of stability is called BIBO stability, i.e. bounded output is obtained as a response to any and all bounded inputs.
Jenő Hetthéssy +3 more
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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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