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Families of Liapunov Functions for Nonlinear Systems in Critical Cases
(1990)
Liapunov functions are constructed for nonlinear systems of ordinary differential equations whose linearized system at an equilibrium point possesses either a simple zero eigenvalue or a complex conjugate pair of simple, ...
Robust Stability of Complex Families of Matrices and Polynomials
(1990)
Recently, the authors introduced the "guardian map" approach as a unifying tool in the study of robust generalized stability questions for marametrized families of matrices and polynomials. Real matrices and polynomials ...
Maximal Range for Generalized Stability- Application to Two Physically Motivated Examples.
(1989)
Some recent results on guardian maps and their application to generalized robust stability are reviewed and a characterization of the maximum stability range is obtained. This framework is then applied to the analysis of ...
On the Stability of Multiple Time-Scale Systems.
(1985)
The stability of time-invariant multiparameter singular perturbation problems is considered and the implications of two time-scale stability results for multiple time-scale systems are clarified. An example shows that the ...
Nonlinear Stabilizing Control of High Angle of Attack Flight Dynamics.
(1988)
This paper discusses a new approach to the feedback control of aircraft at high angles of attack. This approach is based on recent results on control of nonlinear systems at bifurcation points [3, 4, 5]. The lateral dynamics ...
A Simple Proof of Stability on the Center Manifold for Hopf Bifurcation.
(1985)
A simple proof is presented for a well known fact about Hopf bifurcation: if the loss of an equilibrium point results in periodic solutions via Hopf bifurcation, then the stability ot these periodic solutions is determined ...
Delay, elasticity, and stability trade-offs in rate control
(2003)
We adopt the optimization framework for rate allocation problem proposed by Kelly and characterize the stability condition with arbitrary communication delay. We demonstrate that there is a fundamental trade-off between ...
Bifurcation Analysis of Surge and Rotating Stall in Axial Flow Compressors
(1990)
In this paper, the surge and rotating stall post instability behaviors of anial flow compressors are investigated from a bifurcation-theoretic perspective. A sequence of local and global bifurcations of the nonlinear system ...
Nonlinear Stabilization of High Angle-of-Attack Flight Dynamics Using Bifurcation Control
(1990)
We consider the problem of designing stabilizing control laws for flight over a broad range of angles-of-attack which also serve to signal the pilot of impending stall. The paper employs bifurcation stabilization coupled ...
Nonlinear Modeling of Gated Range Tracker Dynamics
(1990)
Nonlinear dynamic models for gated radar range trackers are developed and applied to the range resolution problem. Two common types of tracking loop dynamics, as well as the automatic gain control (AGC), are accounted for ...