Theory of cone methods for null controllability of nonlinear control systems
Copyright policy )Theory of cone methods for null controllability of nonlinear control systems
Cone-valued Lyapunov functions have been used by several authors to examine the stability of nonlinear systems. However, the general problem of constructing a suitable cone given the nature of nonlinearity seems to be as difficult as that of constructing a suitable Lyapunov function. The construction of a suitable cone, at least in special cases, deserves further investigation. Lakshmikantham [1] has used the theory of cones for stability of nonlinear systems. A more unified theory of cones can be found in the book by Krasnosel'skii [2]. The objective of this paper is to use methods of the theory of cones to establish a sufficient condition of null controllability of \dot{x}(t)= A(t)+ g(t,x,u) .
- Indiana University – Purdue University Indianapolis United States
- DePaul University United States
- Purdue University West Lafayette United States
Controllability, Nonlinear systems in control theory, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, stability, nonlinear systems, Control/observation systems governed by ordinary differential equations, Lyapunov functions, null controllability
Controllability, Nonlinear systems in control theory, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, stability, nonlinear systems, Control/observation systems governed by ordinary differential equations, Lyapunov functions, null controllability
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